Sheet No.1NATIONAL INSTTTUTE OF TECHNOI,OGY, I(IRUKSHETRA
TEEORY f,XAMINAfiONQuestion Paper
Roll NoMonth aod Year ofExamination : MALZql3Progamme :
B.TechSubject: Sign&l and SystemsCourse No: ET-202Number
ofQuestio.s to te Attempted: 5Total No. of Questions: 7
Semester: 4tr
Maximum Marks: 50Time A.liowed: 3 Ers.Total No. ofPages Used:
2
Unless stated othe.wise, &e Slirnbols have their usual
meaniogs ifl cotrtext with theSubject. Assume suitally and state,
additionai data required, ifetry.The Caadidates, befo.e starting to
wdte the solutions, should please cherk theQuestion Paper for ally
discrepancy, and also eosure that they have been delive.ed
thequestion paper ofright rourse no. and right subject title.
: Atlemprlwe qrcstions in all. All questiotrs carry equal
marks.
)Sketch and label the lollowing lor the signal .rlrl shown in
Fig below:{nl{3 - n), fln 41, xf3-nl and x[32+1].
-1 ,)Sketch even aad odd parts oftie given signal.
Find out whether signal x(t\ = a c,os(@ol + 0) is aa ercrgy or
power signal.
)lt x(t) = aQ -3) -u(t - s) artd hQ) = e 3'r(/). Compute Jdr) -
x{t) e h{!} .)Define the follewi-'rg prcperties of a system: i)
me{D.yless ii) time-
)Determine the periodic nature and fu"g*e1tat rcriod if the
fotlowinsdiscrae time signal is rcriodic: x{r; = co5l .{
,)*"lLrl
invariant iii) liaear iv) causal v) stable. Cherk these
properties for the givencotrtinuous time syste&s:,
ii)y(,)
= [cos{34]I()d*(t)dtv(t\ =
Shee. No.2NAIIONAL INSTITUTO OT' TECENOLOCY. KURI]KSHETRA
)11 "(7, : 1 + crs(+ r.) . s(n) : sin(??, + 1) ur4 z(rr):
x(n)y{rr) .the Fou.ie, se es coetrs. of z(n)?
)For the signal in Fig. below, c&lculate Fourier transform
using F. T- properties?
)Determine Fourier series ofthe signal shown in Fig. below
)lf y{t) = rQ)@ h(t), sQ) = x(3t)@ h(3t) and s(t)= Ay(Bt). Find
the valof I ard , . Giver th&t x(t)
